| dc.contributor.author | Nguyen, HT | en_US |
| dc.contributor.author | Wang, S | en_US |
| dc.date.accessioned | 2024-07-02T07:39:12Z | |
| dc.date.issued | 2024-01-01 | en_US |
| dc.identifier.issn | 0025-5831 | en_US |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/97781 | |
| dc.description.abstract | We consider the varifold associated to the Allen–Cahn phase transition problem in Rn+1(or n+1-dimensional Riemannian manifolds with bounded curvature) with integral Lq0 bounds on the Allen–Cahn mean curvature (first variation of the Allen–Cahn energy) in this paper. It is shown here that there is an equidistribution of energy between the Dirichlet and Potential energy in the phase field limit and that the associated varifold to the total energy converges to an integer rectifiable varifold with mean curvature in Lq0,q0>n. The latter is a diffused version of Allard’s convergence theorem for integer rectifiable varifolds. | en_US |
| dc.relation.ispartof | Mathematische Annalen | en_US |
| dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | |
| dc.title | Quantization of the energy for the inhomogeneous Allen–Cahn mean curvature | en_US |
| dc.type | Article | |
| dc.rights.holder | © The Author(s) 2024 | |
| dc.identifier.doi | 10.1007/s00208-024-02909-6 | en_US |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Published | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
| qmul.funder | Advances in Mean Curvature Flow: Theory and Applications::Engineering and Physical Sciences Research Council | en_US |
